MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer:

Answer:

y = 80

x = 5

Hope this helped :)

Step-by-step explanation:

Lets say x + 5 so,

y = 8(5) + 12

y = 40 + 12

y = 52 so now we go back to the top equation which would be,

16(5) - 2(52) = -24

80 - 2(52) = -24

80 - 104 = -24, true

Therefore, any number you put in will still get you -24 so your answer is correct if you do substitution right.

Answer 2

Answer:

Answer:

y = 80

x = 5

Hope this helped :)

Step-by-step explanation:

Lets say x + 5 so,

y = 8(5) + 12

y = 40 + 12

y = 52 so now we go back to the top equation which would be,

16(5) - 2(52) = -24

80 - 2(52) = -24

80 - 104 = -24, true

Therefore, any number you put in will still get you -24 so your answer is correct if you do substitution right.

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How many solutions does this system have? x-2y=2 y=-2+5a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution

Answers

the system has one solution, x = 8, y = 3

In an equation system you'll have:

- System with more questions than equations: infinite solutions
- System with the same number of questions as equations: only one solution with as many answers as questions
- System with two or more independent and contradictory equations: zero solutions.

In this case you have two independent equations and two questions (x and y), so the answer is d, one solution.

Z+w−3=k
6z−10w=8

Answers

Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please, include the instructions.

I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.

Use the method of elimination by addition and subtraction. To eiiminate w, multiply all four terms of the first equation by 10, obtaining:

10 z + 10w - 30 = 10k

6z - 10 w = 80

Then 16z - 30 - 80 = 10k, or

16z -110 = 10k, Simplifying this, we get:

10(k + 11)

z = ---------------

Substituting this expression for z into the first equation, we get:

(10/16)(k + 11) + w - 3 = k. We must solve this for w:

-(10/16)(k + 11) + w - 3 = k), or

-(10/16)(k + 11) - w + 3 = -k

Then -(10/16)(k + 11) + 3 + k = w

and so the solution, in terms of the unknown constant k, is

10(k + 11)

( --------------, -(10/16)(k + 11) + 3 + k )

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x? Choose 3 answers: Choose 3 answers: (Choice A) A y=9xy=9xy, equals, 9, x (Choice B) B 2y=18x2y=18x2, y, equals, 18, x (Choice C) C (Choice D) D xxx yyy 333 \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction 666 \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction 999 111 (Choice E) E xxx yyy 222 181818 444 272727 666 363636

Answers

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=(27)/(3)x\ny=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

The Proportional relationships y = 9x, 2y = 18x, and y = (1/3)x have the same constant of proportionality as the equation 3y = 27x.

The equation 3y = 27x represents a proportional relationship between y and x with a constant of proportionality of 9. To determine which relationships have the same constant of proportionality, we can compare the ratios of y to x in the given options.

A) y = 9x: The ratio of y to x is 9, which is the same as the constant of proportionality in the original equation. So, this option has the same constant of proportionality.

B) 2y = 18x: Dividing both sides of the equation by 2, we get y = 9x, which has the same constant of proportionality. Therefore, this option also has the same constant of proportionality.

D) y = (1/3)x: The ratio of y to x is 1/3, which is different from the constant of proportionality in the original equation. Therefore, this option does not have the same constant of proportionality.

So, the correct answers are A) y = 9x, B) 2y = 18x, and D) y = (1/3)x.

For more such questions on Proportional relationships, click on:

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Given a = -3, b = 4 and c = -5, evaluate a - b - c. -12 -6 -2